What is the Least Common Multiple of 78075 and 78080?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78075 and 78080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78075 and 78080, than apply into the LCM equation.

GCF(78075,78080) = 5
LCM(78075,78080) = ( 78075 × 78080) / 5
LCM(78075,78080) = 6096096000 / 5
LCM(78075,78080) = 1219219200

Least Common Multiple (LCM) of 78075 and 78080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78075 and 78080. First we will calculate the prime factors of 78075 and 78080.

Prime Factorization of 78075

Prime Factorization of 78080

Now multiplying the highest exponent prime factors to calculate the LCM of 78075 and 78080.

LCM(78075,78080) = 3² × 5² × 347¹ × 2⁸ × 61¹
LCM(78075,78080) = 1219219200